Solve for u. 6.4u < 3.84 + 6.8u Write your answer with u first, followed by an inequality symbol. ______

Isolate variable u: First, we want to isolate the variable u on one side of the inequality. To do this, we will subtract 6.4u from both sides of the inequality. 6.4u < 3.84 + 6.8u 6.4u - 6.4u < 3.84 + 6.8u - 6.4u 0 < 3.84 + 0.4uSubtract 3.84: Now, we will subtract 3.84 from both sides to isolate the term with the variable u. 0 - 3.84 < 3.84 + 0.4u - 3.84 -3.84 < 0.4uDivide by 0.4: Next, we will divide both sides by 0.4 to solve for u. Remember that since we are dividing by a positive number, the direction of the inequality will not change. -3.84 / 0.4 < 0.4u / 0.4 -9.6 < u

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Solve for $u$ . $\newline$ 6.4u < 3.84 + 6.8u $\newline$ $\newline$ Write your answer with $u$ first, followed by an inequality symbol. $\newline$ ______ $\newline$

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Math Problems

Grade 8

Solve inequalities with decimals: variables on both sides

Full solution

Q. Solve for

u

\newline

6.4u < 3.84 + 6.8u

\newline

\newline

Write your answer with

u

first, followed by an inequality symbol.

\newline

______

\newline

Isolate variable u: First, we want to isolate the variable u on one side of the inequality. To do this, we will subtract $6.4u$ from both sides of the inequality. $\newline$ 6.4u < 3.84 + 6.8u $\newline$ 6.4u - 6.4u < 3.84 + 6.8u - 6.4u $\newline$ 0 < 3.84 + 0.4u
Subtract $3$ . $84$ : Now, we will subtract $3.84$ from both sides to isolate the term with the variable $u$ . $\newline$ 0 - 3.84 < 3.84 + 0.4u - 3.84 $\newline$ -3.84 < 0.4u
Divide by $0$ . $4$ : Next, we will divide both sides by $0.4$ to solve for $u$ . Remember that since we are dividing by a positive number, the direction of the inequality will not change. $\newline$ -3.84 / 0.4 < 0.4u / 0.4 $\newline$ -9.6 < u